Finding the Third Proportional to 5,784.25 and 8,568.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.25 : 8,568.38 = 8,568.38 : x
2. Step 2: Convert to fraction form
   5,784.25/8,568.38 = 8,568.38/x
3. Step 3: Cross multiply
   5,784.25x = 8,568.38 × 8,568.38
4. Step 4: Simplify right side
   5,784.25x = 73,417,050.14
5. Step 5: Solve for x
   x = 73,417,050.14/5,784.25
6. Step 6: Final answer
   x = 12,692.58